Conservative logic

@article{Fredkin2002ConservativeL,
  title={Conservative logic},
  author={Edward Fredkin and Tommaso Toffoli},
  journal={International Journal of Theoretical Physics},
  year={2002},
  volume={21},
  pages={219-253}
}
Conservative logic is a comprehensive model of computation which explicitly reflects a number of fundamental principles of physics, such as the reversibility of the dynamical laws and the conservation of certainadditive quantities (among which energy plays a distinguished role). Because it more closely mirrors physics than traditional models of computation, conservative logic is in a better position to provide indications concerning the realization of high-performance computing systems, i.e… 
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References

SHOWING 1-10 OF 39 REFERENCES
Fundamental Limitations in the Computational Process
Information in computers, in biological systems, or in any other form, inevitably requires the use of physical degrees of freedom. Information is not a purely mathematical or philosophical entity. It
Logical reversibility of computation
TLDR
This result makes plausible the existence of thermodynamically reversible computers which could perform useful computations at useful speed while dissipating considerably less than kT of energy per logical step.
ON A SIMPLE COMBINATORIAL STRUCTURE SUFFICIENT FOR SYBLYING NONTRIVIAL SELF-REPRODUCTION
TLDR
It can be shown that even in a world governed by this system M nontrivial self-reproduction can be established, thus illuminating what simple combinatorial structures allow for the handling of such logical somewhat difficult phenomenas as self-organization, self- reproduction, etc.
Reversible Computing
TLDR
According to a physical interpretation, the central result of this paper is that i¢ is ideally possible to build sequential c/rcuits with zero internal power dissipation.
The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines
In this paper a microscopic quantum mechanical model of computers as represented by Turing machines is constructed. It is shown that for each numberN and Turing machineQ there exists a HamiltonianHNQ
On Magnetic Bubble Logic Circuits
TLDR
It is shown that the minimum circuits of most functions have the characteristic circuit structure called ``1-4 form'' in the last half of this paper.
PRINCIPLES OF STATISTICAL MECHANICS
These lectures comprise an introductory course in statistical mechanics. The Gibbs formulation of the canonical ensemble is introduced and illustrated by application to simple models of magnets and
Irreversibility and heat generation in the computing process
TLDR
Two simple, but representative, models of bistable devices are subjected to a more detailed analysis of switching kinetics to yield the relationship between speed and energy dissipation, and to estimate the effects of errors induced by thermal fluctuations.
Wanted: a physically possible theory of physics
TLDR
The ability to predict the nature of physics in great detail depends upon the ultimate capabilities of information processing systems, and an intertwining between the ultimate versions of the laws of physics and the computer is created.
On computable numbers, with an application to the Entscheidungsproblem
  • A. Turing
  • Computer Science
    Proc. London Math. Soc.
  • 1937
TLDR
This chapter discusses the application of the diagonal process of the universal computing machine, which automates the calculation of circle and circle-free numbers.
...
...